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Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Mar 17, 2018

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Page 1: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Syllabus & Resources

Page 2: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Certificate Syllabus• Section A Pages

Intro, aims & objectives etc 5-8

Syllabus Overview 9-11

Strands 1 & 2 (pink pages) 13-20

Assessment 21-22

• Appendix

Common Introductory Course 23-24

• Section B

Geometry Course 25-72

• Section C

Retained syllabus material 73-93

(2000 syllabus-blue booklet)

Page 3: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Certificate Syllabus• Section A Pages

Intro, aims & objectives etc 5-8

Syllabus Overview 9-13

Strands 1 & 2 (pink pages) 15-23

Assessment 25-26

• Appendix

Trigonometric Formulae 27

• Section B

Geometry Course 29-76

• Section C

Retained syllabus material 77-99

(1994 syllabus)

Page 4: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert Strand 1 Probability

T & Ls 1, 2, 4, 5

Student’s CD

Page 5: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Cert Strand 1 Probability

T & Ls 1, 2, 3, 4, 5

Student’s CD

Page 6: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Cert Strand 1 Probability cont.

Student’s CD

T & Ls 2, 3, 4, 5

Page 7: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Probability

• Teaching & Learning Plans

• Student’s CD

• Handbooks

All available on projectmaths.ie

• Student Resources

Available on ncca.ie/projectmaths

• Content Course Modules 3, 4 & 5

Page 8: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

1. Probability Scale2. Relative Frequency3. Fundamental Principle of Counting4. Outcomes of simple random processes 5. Basic set theory (HL)6. Equally likely outcomes 7. Single Events questions 8. Multiple event questions9. Tree Diagrams (HL)

JUNIOR CERTIFICATE

LEAVING CERTIFICATE

1. All Junior Certificate Content2. Arrangements and Selections3. Set theory4. Conditional Probability5. Expected Value6. Bernoulli Trials7. Normal Distribution8. Empirical Rule9. Standard Normal Distribution (HL) 10. Standard Scores (z values) (HL) 11. Hypothesis Testing using Margin of Error (HL)

Page 9: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert Strand 1 Statistics

Data Handling

Cycle

Page 10: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert Strand 1 Statistics cont.

Student’s CD

Data Handling

Cycle

Page 11: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Cert Strand 1 Statistics

Data Handling

Cycle

Page 12: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Cert Strand 1 Statistics cont.

Document

Document

Data Handling

Cycle

Page 13: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Statistics

• Data handling Cycle• Student CD• “How to use Census at School”• ICT Course• HandbooksAll available on projectmaths.ie

• Student ResourcesAvailable on ncca.ie/projectmaths

• Content Course Modules 1 & 2

Page 14: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

(a) Primary sources:(i) Observational studies (JCHL, LCOL)(ii) Designed experiments (JC)

(b) Secondary sources

Sampling: (i) Random (JC)(ii) Stratified (LCHL)(iii) Cluster (LCHL)(iv) Quota (LCHL)

Misuses andMisconceptions

Stat

isti

cs

(a) Reliability of Data (JCHL) (b) Summarise Data (Spreadsheets) (c) Types of Data JC

Types of data: Categorical/Numerical(JC)

(a) Univariate Categorical (JC) Pie Charts (JC)Bar Charts (JC)Line Plots (JC)

Univariate NumericHistograms (JC)Stem and Leaf(JC)Back to Back (JCHL)Line plots (JC)

(b) Bivariate (LC)Bivariate Numeric

Scatter plots (LCOL)Correlation (LCOL)

(a) Central TendencyMean (JCHL)Median (JC)Mode (JC)

(b) SpreadRange (JCOL)Interquartile (JCHL)Standard Deviation(Calculator)

(c) Histograms Symmetry (LCOL)Skewness (LCOL)

(d) Line of best fit (LCHL)Correlation CoefficientMeaning of (LCOL)Calculate (LCHL)

2. Generate & Collect Data(C@S)

3. Analyse the Data

4. Interpret the Results

1. Pose a question(C@S)

Census at School (C@S)

Page 15: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Synthetic Geometry

• Theorems and Constructions on Student’s CD

• Student Activities

• Theorems in your own words

All available on projectmaths.ie

Teachers

Strand 2

Junior Cycle (Senior Cycle)

Supplementary Material

Page 16: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert Strand 2 Geometry & Trigonometry

T & LsCo-ordinate

Plane (Teachers) & Distance

T & L 8

Page 17: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Leaving Cert Strand 2 Geometry & Trigonometry

Student’s CD

Page 18: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Student’s CD

Leaving Cert Strand 2 Geometry & Trigonometry cont.

T & L 10

End of T & L 9 is start of this section

T & L Radians (Teachers)

T & L 9

T & L 8

Page 19: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Common Introductory Course for First Years

T & L 1

Student’s CD

Data Handling

Cycle

Page 20: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Common Introductory Course for First Years cont.

T & L Co-ordinate

Plane (Teachers)

Student’s CD

Page 21: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

www.projectmaths.ie

Page 22: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

www.ncca.ie/projectmaths

Page 23: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Question 5 Leaving Cert. Higher Level June 2010

T & L 10

Student’s CD

Page 24: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Question 5 Leaving Cert. Ordinary Level June 2010

T & L 4

T & L 1

Page 25: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

26

Question 3 Leaving Cert. Foundation Level June 2010

NCCA Student Resources

Page 26: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Foundation Level Sample 2011

GeoStrips

Page 27: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Higher Level Sample 2011

28

GeoStrips

Page 28: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Ordinary Level Sample 2011

29

CensusAtSchool

Page 29: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Ordinary Level Sample 2011

30

T & L 2

Page 30: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Higher Level Sample 2011

31

T & L 2

Page 31: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Ordinary Level Sample 2011

32

T & L 8

Page 32: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Junior Cert. Higher Level Sample 2011

33

T & L 8

Page 33: Syllabus & Resources - Project Maths. Set theory 4. Conditional Probability 5. Expected Value 6. Bernoulli Trials 7. Normal Distribution 8. Empirical Rule 9. Standard Normal Distribution

Syllabus & Resources